3D- New Mesh from Grayscale- Plane  produces a mesh with some gaps in.

When I open a greyscale BMP file, and use the 3D->New Mesh from Grayscale->Plane option to create a 3D mesh based on it, the mesh it creates has some curious gaps in - I've attached an illustration of this, showing dome shapes with the mysterious gaps.
Anyone know what I can do to make sure there are no gaps of this kind? Some kind of Blur filtering, perhaps? Any suggestions? Should I convert the BMP file to some other format first?
I'm using CS5 extended (64), on Windows 7 (64).
Also, does anyone know how the mesh resolution can be altered?  It seems to be about 1/12 of the resolution of the grayscale image that the mesh derives from, that is, for each 12 dots in the greyscale image, a single  point/vertex of a mesh triangle  on the greyscale mesh, is created.
DocH999

Hi SG,
Here is a JPG equivalent/version of a BMP file that creates the kind of gappy mesh I mentioned in the original post.  (Can't upload a BMP file, it seems.  And I hope it will survive the upload process without having its resolution altered in such a way as to stop it generating the gappy mesh. Also, it's not a greyscale mode image, but I understand that doesn't matter - I certainly get exactly the same problem when I convert to greyscale first - I forgot to grayscale this sample before I uploaded it).
If you download the file, open it in PS5 extended, do the 3D->New mesh from grayscale->Plane, and then zoom in, you should see the odd grey triangles and rhombus shapes that indicate the incorrectly-created mesh.  If you open the 'background' layer and make that white, it'll make the 'gappiness' a bit more visible.
I'm using Windows 7.  My GPU is an NVIDIA GeForce G105M/PCI/SSE2, but I suspect this problem is a computational one inside PS, not a display one (for example, zooming in and out leaves the gappiness in the same places in the mesh).
One thing I've noticed is that this gappiness thing seems to be a function of the size of the depth map file - I took a large depth map file that produced the gappy mesh, and I cropped the centre out of it, and when I used that to generate a 3D mesh, it did not have the gappy bits any more, even in the places where the large file had generated them. Odd...!!!
Hoping you can help me with this!!
DocH

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